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Finding the Fourth Proportional to 347,751.90, 520,643.70 and 308,385.90

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Solution

The fourth proportional to 347,751.90, 520,643.70 and 308,385.90 is: 461,706.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,751.90 : 520,643.70 = 308,385.90 : x
  2. Step 2: Convert to fraction form
    347,751.90/520,643.70 = 308,385.90/x
  3. Step 3: Cross multiply
    347,751.90x = 520,643.70 × 308,385.90
  4. Step 4: Simplify right side
    347,751.90x = 160,559,176,003.83
  5. Step 5: Solve for x
    x = 160,559,176,003.83/347,751.90
  6. Step 6: Final answer
    x = 461,706.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.